Answer:
x = 16
Step-by-step explanation:
The 3 exterior angles of a triangle sum to 360°
sum the exterior angles and equate to 360
5x + 12 +10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 16
Step-by-step explanation:
The 3 exterior angles of a triangle sum to 360°
sum the exterior angles and equate to 360
5x + 12 +10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Use the area models to answer the question. The fraction of area model A is 4/12. The fraction of area model B is 3/9. Compare the two fractions and write an equation or inequality to show how the two fractions are related. Use <, >, or =.
Answer:
The answer is = because if you make 3/9 simple it would be 1/3 then you multiply by 4 and you get 4/12 So again your answer is =
Step-by-step explanation:
Answer:=
Step-by-step explanation:they're both equivalent on the area model you see that the parts that are shaded they look different but they're the same
Santosh brought 300 dotpens for Rs 4500. He sold 200 of them at a loss of 5%. At what rate should he sell the remaining dotpens so as to gain 10% an the whole.
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole.
How to calculate the gain of selling dotpensWe know that Santosh sold 200 dotpens with a loss of 5 % and he must sell the remaining dotpens with an unknown surplus in order to obtain 10 % of the whole. The situation can be represented by the following expression:
[tex]-0.05\cdot (\frac{4500}{300} )\cdot (200) + x\cdot \left(\frac{4500}{300} \right)\cdot (100) = 0.10\cdot (4500)[/tex] (1)
[tex]-150+1500\cdot x =450[/tex]
[tex]x = 0.4[/tex]
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole. [tex]\blacksquare[/tex]
To learn more on linear equations, we kindly invite to check this verified question: https://brainly.com/question/17058347
Based on a $400 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR). Company Fees Charged Term of Loan A $40 5 days B $50 12 days C $80 15 days D $100 20 days a. A, B, C, D b. B, D, C, A c. D, B, C, A d. D, C, B, A.
Answer:
B,D,C,A
Step-by-step explanation:
So the correct answer order is B,D,C,A
Shannon’s mom took her to dinner for her birthday. Their dinners totaled $80 and sales tax was 5%. If Shannon’s mom left a 20% tip on the cost of their dinners before tax, how much money did she spend in all?
Answer:
100 dollars.
Step-by-step explanation:
First you multiply 80 by 5% which is 4. Then you multiply 80 by 20% which is 16. Then you add it all together which gives you $100.
What is the difference between vertical and perpendicular?.
Answer:
Vertical is straight up and down line or object
Perpendicular is more at an angle of 90 degrees to a line, plane, or surface ect
What is the measure of ∠ABD?
Answer: it will be 60
-1 - ( -2 ) = Can you help me with this question :)
Answer:
-1 - ( -2 ) = 1
Step-by-step explanation:
The asymptote of f(x) = 5(2^x)
*
(Type an equation.)
Answer:
y=0
Step-by-step explanation:
Remark that exponential functions have horizontal asymptotes .
Graph attached
So if you have 1500 ML then how many liters will you have?
[tex]\left \{ {{3x+4y=36} \atop {y=\frac{1}{2} x+8}} \right.[/tex]
Answer:
Step-by-step explanation:
4y=-48
-2x=8
x=28
y=-22
Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the same?
Answer:
Michelle bought a pack of crayon for $3.25
Step-by-step explanation:
Number of packs = 5
The cost of a pack of crayons =
(Cost of 5 packs of crayon) / (number of packs of crayons)
The cost of a pack of crayons = ($16.25 ) / 5
The cost of a pack of crayons = $16.25 / 5
The cost of a pack of crayons = $3.25
Please help me I need to pass geo abs I need help asap thanks
Answer:
x = 20
Step-by-step explanation:
3x - 10 + 5x + 30 = 180
8x = 180 - 20
8x = 160
x = 20
Answer the following correctly :-)
What are the solutions to the equation open absolute value I x-3 I = 14?
Question 1 options:
x=11 only
x=17 only
x=-11 and x=11
x=-11 and x=17
the answer is d i believe
please help me, i only have 30 mins.
Answer:
Width is 24, length is 40
Step-by-step explanation:
64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!
WILL GIVE 50 POINTS aluate the expression abc for a = –2.1, b = 4, and c = 0.5.
Answer:
-4.2
Step-by-step explanation:
abc means multiplication becuase theyre together so -2.1 x 4 x 0.5 and that equals -4.2.
Answer:
see below for explanation:-
Step-by-step explanation:
[tex]abc[/tex]
a=-2.1,b=4 and c=0.5[tex] - 2.1 \times 4 \times 0.5[/tex]
[tex] - 8.4 \times 0.5[/tex]
[tex] - 4.2[/tex]
The area of the shape is 54 cm2.
Find the value of r.
Please answer soon (40 Points)
Answer:
D 1 inch = 5 feet
Step-by-step explanation:
Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180
Using proportions, it is found that her satellite bill before the switch was of $240.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, she can pay a total of $180 per 300 channels, hence her price per channel will be of:
p = 180/300 = $0.6.
She currently pays $0.2 more, that is, $0.8, hence:
B = 300 x 0.8 = 240.
Her satellite bill before the switch was of $240.
More can be learned about proportions at https://brainly.com/question/24372153
Solve:
q-6/5=1/12
A. 7/17
B. 7/60
C. 1 17/60
D. -1 17/60
Answer:
The choice C .
[tex]1 \frac{17}{60} [/tex]
Step-by-step explanation:
[tex]q - \frac{6}{5} = \frac{1}{12} \\ \\ q = \frac{1}{12} + \frac{6}{5} \\ \\ q= \frac{5}{60} + \frac{72}{60} = \frac{77}{60} = 1 \frac{17}{60} [/tex]
Answer:
q = 1 [tex]\frac{17}{60}[/tex]
Step-by-step explanation:
q - [tex]\frac{6}{5} = \frac{1}{12}[/tex]
Add [tex]\frac{6}{5}[/tex] to both sides.
q = [tex]\frac{1}{12} + \frac{6}{5}[/tex]
The least common multiple of 12 and 5 is 60. Convert [tex]\frac{1}{12}[/tex] and [tex]\frac{6}{5}[/tex] to fractions with denominator 60.
q = [tex]\frac{5}{60} + \frac{72}{60}[/tex]
Since [tex]\frac{5}{60}[/tex] and [tex]\frac{72}{60}[/tex] have the same denominator, add them by adding their numerators.
q = [tex]\frac{5 + 72}{60}[/tex]
Add 5 and 72 to get 77.
q = [tex]\frac{77}{60}[/tex]
Add the 1 and you get:
1 [tex]\frac{77}{60}[/tex]
Hope it helps and have a great day! =D
~sunshine~
Can somebody help me please
Answer:
I will help you I. working on it just be pecient
Write in slope intercept form an equation of the line that passes through the given points (-3,1) (0,4)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{0+3}\implies \cfrac{3}{3}\implies 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-1=x+3\implies y=x+4[/tex]
Answer:
y = x + 4
Step-by-step explanation:
The slope
[tex]m=\frac{4-1}{0+3} =\frac{3}{3}=1[/tex]
The equation: with point (0, 4)
[tex]y-4=1(x-0)[/tex]
[tex]y-4=x-0[/tex]
[tex]y-4=x[/tex]
[tex]y=x+4[/tex]
Hope this helps
PLEASE HELP ASAP
How much greater is 4×10 to the ninth power than 5×10 to the fifth power. Estimate by rounding to the nearest whole number
Answer:
Exact: 3,999,500,000
Estimate: 4,000,000,000
Step-by-step explanation:
(4)(10) = 40
(4 x 10)9 = 4,000,000,000
Notice that there are 9 zeros
_________________________________________
(5)(10) = 50
(5 x 10)5 = 500,000
Notice that there are 5 zeros
_________________________________________
4,000,000,000 - 50,000 = 3,999,500,000
Give the equation of a line which is perpendicular to y = 2x + 1
Joan has 13 jobs to assign. 4 of these are cleaning, 3 are
organizing. If she randomly assigns 1 job each to 7 people in a
particular order, what is the probability that she assigns 2 cleaning
jobs and 2 organizing jobs?
Answer:
which conclusion about proposed in transportation do both speakers s
6. A swimming pool is in the shape of a
rectangular prism. It holds 1,440 cubic feet
of water. If the base measures 15 feet by 12
feet, then how deep is the pool?
Show your work please
Answer:
depth of the pool: 8 ft
Explanation:
rectangular prism volume = length * breath * height
Given:
length = 15 feetbreadth = 12 feetusing this formula:
[tex]\sf volume = length * breath * height[/tex]
[tex]\sf 1440 = 15 * 12 * height[/tex]
[tex]\sf height * 180 = 1440[/tex]
[tex]\sf height = \frac{1440}{180}[/tex]
[tex]\sf height = 8 ft[/tex]
Could you please put it this way? or else the teacher would count as cheating.
Answer:
Step-by-step explanation:
What is the area of the shape?
Answer:
65
Step-by-step explanation:
9×(5+4) - ½ × 4 × 3 - ½ × 4×5
= 81-6-10
= 65
so the answer is 65(the area of the shape)
i hope that this answer can help you
Answer:
43200
Step-by-step explanation:
We multiply all the sides
I am not sure about this but try it.
The relation shown in the table represents what a local electrician charges each hour of work. The electrician charges 30$ service fee and then 25$ for each hour he worked
(Identifie independent variable)
Using it's concept, it is found that the independent variable is the number of hours worked.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
In this problem, the input is the number of hours worked and the output is the salary, hence, the independent variable is the number of hours worked.
More can be learned about independent variables at https://brainly.com/question/1429012
Factor: 28k^3-24k^2+49k-42
I will give Brainliest to the first person :)
Answer:
[tex](4k^2+7)(7k-6)[/tex]
Step-by-step explanation:
Factor each half of the expression separately:
[tex]4k^2(7k-6)+7(7k-6)[/tex]
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
[tex](4k^2+7)(7k-6)[/tex]
Answer:
[tex](7k - 6) (4k^{2} + 7)[/tex]
Step-by-step explanation:
[tex]28k^{3} - 24k^{2} + 49k - 42[/tex]
[tex]= (28k^{3} - 24k^{2}) + (49k - 42)[/tex]
[tex]= 4k^{2} (7k - 6) + 7 (7k - 6)[/tex]
[tex]= (7k - 6) (4k^{2} + 7)[/tex]